Day 1: Arrive in the morning and do the heart of Rome walk. Go inside the Pantheon
Day 2: Tour the Colosseum and Forum. After lunch see some sites around the area (Circus Maximus, churches)
Day 3: Tour the Vatican. After lunch, visit Castel SantAngelo, visit a good view point or two
Day 4: Jewish Ghetto and Trastevere. Looking for something else to do, as I’m not sure if this would take the whole day
Day 5: Haven’t decided. Appian Way Bike Tour? Catacombs? Tivoli Day Trip? Ostia Antica Day Trip? Cooking Class?
I know I do not have the Borghese Gallery, but I’m not really into art so that’s why